A college basketball player makes 70% of his free throws. At the end of a game, his team is losing by two points. He is fouled attempting a three-point shot and is awarded three free throws. Assuming each free throw is independent, what is the probability that he makes at least two of the free throws?
A)0.784
B)0.7
C)0.441
D)0.216

Question

Quizplus · Accepted Answer

The probability of making at least two free throws can be calculated by finding the sum of the probabilities of making exactly two and making all three. The probability of making exactly two free throws is 3 * (0.7)^2 * (0.3) = 0.441, and the probability of making all three is (0.7)^3 = 0.343. Adding these together gives 0.441 + 0.343 = 0.784.

A College Basketball Player Makes 70% of His Free Throws